Slopes

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Slope is what we need to find a steepness of a number, usually known as m in formulas. It is when you need to find the change of y divided by the change in x. The slope is used to find the point slope and the slope-intercept formula in the equation.

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There are different types of slopes. This slope is a positive slope, because is going to the right or left  and going up. The slope of two points must be a positive answer to become a positive slope. Both x and y of both point should be different from each other to be a positive slope, but also has to match the formula used to find slope.

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This slope is the opposite of the other slope shown, and this is a negative slope. This goes down and either left or right and going down. The slope of the two lines should be a negative answer to be a negative slope.

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 This slope is a slope of 0. This slopes is a straight line. To  create a 0 slope, you have to have the same number of y, and two different numbers of x. If y isn't the same, then it will be either a positive or negative slope from before.

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This slope is undefined. Though this is also a straight line, we don't know the slope of this line. To create an undefined slope, you need to have the same value of x, but different values for y to create an undefined slope. If no x value is the same, then it won't be an undefined slope.







Formula for slope*:
m= y_{1 -} y_{2
       -----------}
        x₁- x₂

Steps to identify Slope in Linear Equation*:

1. Put the equation in y = form. (slope-intercept form)
2.  Look at the x coefficient

*Notes from my teacher, Ms. Koltunova & Mr Perry